Spectral theory in ordered Banach algebras | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Positivity …

Ordered Banach algebras and multi-norms: some open problems | Positivity Skip to main
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Let A be an ordered Banach algebra and a, b∈ A such that 0≤ a≤ b. The domination
problem involves finding natural conditions under which properties of b will be inherited by …

Let A be a complex unital Banach algebra. An algebra cone in A is a non-empty subset C of
A containing the unit of A and which is closed under addition, multiplication and non …

Inheritance Properties of Positive Cones Induced by Subalgebras and Quotients of Ordered
Banach Algebras | SpringerLink Skip to main content Advertisement SpringerLink Account …

Abstract Let B (X) B (X) be the Banach algebra of all bounded linear operators on a Banach
space X into itself. In this paper, we extend and simplify some results concerning the …

An ordered Banach algebra A, which is also a C*-algebra with positive involution, is called
an ordered C*-algebra. Elementary properties of such algebras are studied. In particular, the …

Let x and y be elements of an ordered Banach algebra (OBA) such that 0≤ x≤ y. In this
paper we will discuss results that give conditions under which the spectral radius of x is a …